Pipe friction & head loss worksheet with answers

Free printable Pipe friction & head loss worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
Q = 40 L/sD = 200 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 200 mm at 40 L/s. Find the Reynolds number Re.

Q = 40 L/sD = 200 mmν = 0.801 × 10⁻⁶ m²/s
Re =
2.Easy
Q = 5 L/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s

Water at 30 °C (ν = 0.801 × 10⁻⁶ m²/s) flows through a pipe with an inside diameter of 50 mm at 5 L/s. Find the Reynolds number Re.

Q = 5 L/sD = 50 mmν = 0.801 × 10⁻⁶ m²/s
Re =
3.Medium
Q = 8 L/sD = 75 mmL = 50 mf = 0.015

Water flows at 8 L/s through a pipe 50 m long with an inside diameter of 75 mm. Use the Darcy friction factor f = 0.015 and g = 9.81 m/s². Find the friction head loss hf.

Q = 8 L/sL = 50 mD = 75 mmf = 0.015g = 9.81 m/s²
hf = m
4.Medium
Q = 25 L/sD = 100 mmL = 800 mf = 0.022

Water flows at 25 L/s through a pipe 800 m long with an inside diameter of 100 mm. Use the Darcy friction factor f = 0.022 and g = 9.81 m/s². Find the friction head loss hf.

Q = 25 L/sL = 800 mD = 100 mmf = 0.022g = 9.81 m/s²
hf = m
5.Hard
K = 2Δz = ?L = 100 m, D = 150 mm, f = 0.0224× bend (K = 0.3)

Two open reservoirs are joined by a pipe 100 m long with an inside diameter of 150 mm and a Darcy friction factor f = 0.022. The minor losses are a square-edged entrance (K = 0.5), 4 bends (K = 0.3 each), a valve (K = 2) and the exit into the lower reservoir (K = 1.0). Use g = 9.81 m/s². What difference in water level Δz between the reservoirs gives a flow rate of 30 L/s?

Q = 30 L/sL = 100 mD = 150 mmf = 0.022Kentrance = 0.5Kbend = 0.3 (×4)Kvalve = 2Kexit = 1.0
Δz = m
6.Hard
K = 0.2free outletH = ?L = 100 m, D = 250 mm, f = 0.023× bend (K = 0.3)

A pipe 100 m long with an inside diameter of 250 mm (Darcy friction factor f = 0.02) runs from an open reservoir and discharges as a free jet into the air. The minor losses are a square-edged entrance (K = 0.5), 3 bends (K = 0.3 each) and a valve (K = 0.2). Use g = 9.81 m/s². How far H must the reservoir surface be above the pipe outlet for a flow rate of 80 L/s?

Q = 80 L/sL = 100 mD = 250 mmf = 0.02Kentrance = 0.5Kbend = 0.3 (×3)Kvalve = 0.2
H = m

Answer key

  1. 1. Re = 317912
  2. 2. Re = 158956
  3. 3. hf = 1.671 m
  4. 4. hf = 90.89 m
  5. 5. Δz = 2.845 m
  6. 6. H = 1.435 m

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